The Swastika was the symbol that was used by the Nazis. This was used on banners during battles and armbands of soldiers to identify that they were in the nazi army. However, th official flag of the nazi party had a eagle standing atop the swastika.
There was also many other symbols used for other groups of people that weren't apart of the nazis. Like the pink triangle above was used to identify if the person was a homosexual or not. The most common symbol that the nazi party used was the triangle in different colors.